Details

Time bar (total: 2.3s)

sample16.0ms

Algorithm
intervals
Results
8.0ms336×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1173
2213
3233
4243
5243

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
21.0ms
(/ (- (* x x) 3.0) 6.0)

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (- (* x x) 3.0) 6.0)

simplify68.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0182228
1585214
22311212
35001211

prune70.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 6.0 (- (* x x) 3.0))
0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
22×associate-/r*
16×difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 133
Calls
2 calls:
14.0ms
(/ 6.0 (- (* x x) 3.0))
25.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 6.0 (- (* x x) 3.0))
64.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05161159
125031036
25001934

prune181.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (sqrt 3.0))
0.0b
(+ x (sqrt 3.0))
0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.7b
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
60×*-un-lft-identity
40×add-cube-cbrt
37×times-frac
22×associate-*r*
18×prod-diff
17×sqrt-prod
16×difference-of-squares
11×add-exp-log add-cbrt-cube
8×distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×fma-def flip3-+ fma-neg associate-/r* flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-lft-out unswap-sqr
1×+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 147
Calls
4 calls:
10.0ms
(- x (sqrt 3.0))
7.0ms
(+ x (sqrt 3.0))
21.0ms
(/ (- x (sqrt 3.0)) 6.0)
53.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series289.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- x (sqrt 3.0))
37.0ms
(+ x (sqrt 3.0))
59.0ms
(/ (- x (sqrt 3.0)) 6.0)
155.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04491171
12081954
25001928

prune259.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (fma (- 3.0) 3.0 (pow x 4)) 6.0)
10.5b
(/ (* 1 (/ (fma (- 3.0) 3.0 (pow x 4)) 6.0)) (+ (* x x) 3.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
8×div-exp
6×associate-/r*
5×cbrt-undiv
4×prod-exp associate-/l*
2×pow1 expm1-log1p-u frac-2neg 1-exp clear-num associate-/r/ cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×flip3-+ associate-*r/ flip-+ associate-/l/
Counts
2 → 59
Calls
2 calls:
5.0ms
(/ (fma (- 3.0) 3.0 (pow x 4)) 6.0)
20.0ms
(/ (* 1 (/ (fma (- 3.0) 3.0 (pow x 4)) 6.0)) (+ (* x x) 3.0))

series301.0ms

Counts
2 → 6
Calls
2 calls:
140.0ms
(/ (fma (- 3.0) 3.0 (pow x 4)) 6.0)
161.0ms
(/ (* 1 (/ (fma (- 3.0) 3.0 (pow x 4)) 6.0)) (+ (* x x) 3.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0312560
11436476
25002463

prune146.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample327.0ms

Algorithm
intervals
Results
177.0ms10814×body80valid